Here are the areas of the 12 rectangular surfaces that make up the surface area of the podium:

7.5 x 1.5 = 11.25 square feet (Bottom)

1.5 x 1.5 x 2 = 4.5 square feet (Right/Left Bottom Sides)

2.5 x 1.5 x 2 = 7.5 square feet (Right/Left Flat)

1.5 x 1.5 x 2 = 4.5 square feet (Right/Left Top Sides)

2.5 x 1.5 x 2 = 7.5 square feet (Top Front/Back)

2.5 x 1.5 = 3.75 square feet (Top)

7.5 x 1.5 x 2 = 22.5 (Bottom Front and Back)

The area of all these surfaces is 61.5 square feet.

8 0

3 years ago

Read 2 more answers

Isla flipped a coin 30 times. The coin landed heads up 9 times and tails up 21 times.

Debora [2.8K]

Answer:

both are equal

Step-by-step explanation:

there are two side tails and heads so there a 1/2 chance it will land on heads

8 0

2 years ago

Find the radius of the circle with equation x²+y²+8x+8y+28=0

galina1969 [7]

<h2>Hello!</h2>

The answer is:

Center: (-4,-4)

Radius: 2 units.

To solve the problem, using the given formula of a circle, we need to find its standard equation form which is equal to:

$(x-h)^{2}+(y-k)^{2}=r^{2}$

Where:

"h" and "k" are the coordinates of the center of the circle and "r" is its radius.

So, we need to complete the square for both variable "x" and "y".

The given equation is:

$x^{2}+y^{2}+8x+8y+28=0$

So, solving we have:

$x^{2}+y^{2}+8x+8y=-28$

$(x^2+8x+(\frac{8}{2})^{2})+(y^2+8y+(\frac{8}{2})^{2})=-28+((\frac{8}{2})^{2})++(\frac{8}{2})^{2})\\\\(x^2+8x+16 )+(y^2+8y+16)=-28+16+16\\\\(x^2+4)+(y^2+4)=4$

$(x^2-(-4))+(y^2-(-4))=4$

Now, we have that:

$h=-4\\k=-4\\r=\sqrt{4}=2$

So,

Center: (-4,-4)

Radius: 2 units.

Have a nice day!

Note: I have attached a picture for better understanding.

3 0

2 years ago